{"group":{"id":1,"name":"Community","lockable":false,"created_at":"2012-01-18T18:02:15.000Z","updated_at":"2026-05-26T00:16:20.000Z","description":"Problems submitted by members of the MATLAB Central community.","is_default":true,"created_by":161519,"badge_id":null,"featured":false,"trending":false,"solution_count_in_trending_period":0,"trending_last_calculated":"2026-05-26T00:00:00.000Z","image_id":null,"published":true,"community_created":false,"status_id":2,"is_default_group_for_player":false,"deleted_by":null,"deleted_at":null,"restored_by":null,"restored_at":null,"description_opc":null,"description_html":null,"published_at":null},"problems":[{"id":45388,"title":"Gapful numbers","description":"If a number is divisible by the number formed by the first and last digit of that number then it is defined as a gapful number.\r\n\r\n\u003chttps://oeis.org/A108343\u003e\r\n\r\nFind the number of gapful numbers up to n.","description_html":"\u003cp\u003eIf a number is divisible by the number formed by the first and last digit of that number then it is defined as a gapful number.\u003c/p\u003e\u003cp\u003e\u003ca href = \"https://oeis.org/A108343\"\u003ehttps://oeis.org/A108343\u003c/a\u003e\u003c/p\u003e\u003cp\u003eFind the number of gapful numbers up to n.\u003c/p\u003e","function_template":"function y=gapful_4(n)","test_suite":"%%\r\nassert(isequal(gapful_4(54),0))\r\n%%\r\nassert(isequal(gapful_4(451),51))\r\n%%\r\nassert(isequal(gapful_4(4451),525))\r\n%%\r\nassert(isequal(gapful_4(10000),765))\r\n%%\r\nassert(isequal(gapful_4(100000),7491))\r\n%%\r\nassert(isequal(gapful_4(99999),7490))\r\n%%\r\nassert(isequal(gapful_4(1000000),74665))\r\n%%\r\n%assert(isequal(gapful_4(1200000),117829))\r\n%%\r\n%assert(isequal(gapful_4(10000000),746,286))","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":363598,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":20,"test_suite_updated_at":"2020-03-25T11:55:52.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2020-03-25T11:51:19.000Z","updated_at":"2026-05-30T05:31:07.000Z","published_at":"2020-03-25T11:55:52.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"targetMode\":\"\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"targetMode\":\"\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\\n\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eIf a number is divisible by the number formed by the first and last digit of that number then it is defined as a gapful number.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:hyperlink w:docLocation=\\\"https://oeis.org/A108343\\\"\u003e\u003cw:r\u003e\u003cw:t\u003e\u0026lt;https://oeis.org/A108343\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e\u0026gt;\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFind the number of gapful numbers up to n.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"},{"id":45363,"title":"Exponentiation","description":"Given 3 integers b,e,k;  find -- \r\n\r\n  mod(b^e,k)","description_html":"\u003cp\u003eGiven 3 integers b,e,k;  find --\u003c/p\u003e\u003cpre class=\"language-matlab\"\u003emod(b^e,k)\r\n\u003c/pre\u003e","function_template":"function x = mod_expo(b,e,k)\r\nend","test_suite":"%%\r\nassert(isequal(mod_expo(5,3,13),8))\r\n%%\r\nassert(isequal(mod_expo(10,4,11),1))\r\n%%\r\nassert(isequal(mod_expo(4,13,497),445))\r\n%%\r\nassert(isequal(mod_expo(4,311,497),464))\r\n%%\r\nassert(isequal(mod_expo(50,300,13),1))\r\n%%\r\nassert(isequal(mod_expo(1000,300,23),3))\r\n%%\r\nassert(isequal(mod_expo(64,43,4),0))\r\n%%\r\nassert(isequal(mod_expo(644,43,5),4))\r\n%%\r\nassert(isequal(mod_expo(327,211,56),47))\r\n%%\r\nassert(isequal(mod_expo(3277,211,234),1))","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":363598,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":32,"test_suite_updated_at":"2020-03-14T15:29:04.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2020-03-13T18:57:51.000Z","updated_at":"2026-05-30T03:52:41.000Z","published_at":"2020-03-13T18:58:07.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"targetMode\":\"\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"targetMode\":\"\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\\n\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eGiven 3 integers b,e,k; find --\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"code\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c![CDATA[mod(b^e,k)]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"}],"problem_search":{"problems":[{"id":45388,"title":"Gapful numbers","description":"If a number is divisible by the number formed by the first and last digit of that number then it is defined as a gapful number.\r\n\r\n\u003chttps://oeis.org/A108343\u003e\r\n\r\nFind the number of gapful numbers up to n.","description_html":"\u003cp\u003eIf a number is divisible by the number formed by the first and last digit of that number then it is defined as a gapful number.\u003c/p\u003e\u003cp\u003e\u003ca href = \"https://oeis.org/A108343\"\u003ehttps://oeis.org/A108343\u003c/a\u003e\u003c/p\u003e\u003cp\u003eFind the number of gapful numbers up to n.\u003c/p\u003e","function_template":"function y=gapful_4(n)","test_suite":"%%\r\nassert(isequal(gapful_4(54),0))\r\n%%\r\nassert(isequal(gapful_4(451),51))\r\n%%\r\nassert(isequal(gapful_4(4451),525))\r\n%%\r\nassert(isequal(gapful_4(10000),765))\r\n%%\r\nassert(isequal(gapful_4(100000),7491))\r\n%%\r\nassert(isequal(gapful_4(99999),7490))\r\n%%\r\nassert(isequal(gapful_4(1000000),74665))\r\n%%\r\n%assert(isequal(gapful_4(1200000),117829))\r\n%%\r\n%assert(isequal(gapful_4(10000000),746,286))","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":363598,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":20,"test_suite_updated_at":"2020-03-25T11:55:52.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2020-03-25T11:51:19.000Z","updated_at":"2026-05-30T05:31:07.000Z","published_at":"2020-03-25T11:55:52.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"targetMode\":\"\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"targetMode\":\"\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\\n\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eIf a number is divisible by the number formed by the first and last digit of that number then it is defined as a gapful number.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:hyperlink w:docLocation=\\\"https://oeis.org/A108343\\\"\u003e\u003cw:r\u003e\u003cw:t\u003e\u0026lt;https://oeis.org/A108343\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e\u0026gt;\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFind the number of gapful numbers up to n.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"},{"id":45363,"title":"Exponentiation","description":"Given 3 integers b,e,k; 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